6533b7d7fe1ef96bd1267ce1

RESEARCH PRODUCT

Adaptive H ∞ synchronization of master-slave systems with mixed time-varying delays and nonlinear perturbations: An LMI approach

Hamid Reza Karimi

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Time delaysEngineeringbusiness.industryApplied MathematicsVDP::Technology: 500::Mechanical engineering: 570Linear systemNonlinear perturbationsMaster/slaveLinear matrixSynchronization signalComputer Science ApplicationsControl and Systems EngineeringControl theoryModeling and SimulationSynchronization (computer science)business

description

Published version of an article in the journal: International Journal of Automation and Computing. Also available from the publisher on SpringerLink: http://dx.doi.org/10.1007/s11633-011-0595-z This paper proposes an adaptive synchronization problem for the master and slave structure of linear systems with nonlinear perturbations and mixed time-varying delays comprising different discrete and distributed time delays. Using an appropriate Lyapunov-Krasovskii functional, some delay-dependent sufficient conditions and an adaptation law including the master-slave parameters are established for designing a delayed synchronization law in terms of linear matrix inequalities(LMIs). The time-varying controller guarantees the H ∞ synchronization of the two coupled master and slave systems regardless of their initial states. Particularly, it is shown that the synchronization speed can be controlled by adjusting the updated gain of the synchronization signal. Two numerical examples are given to demonstrate the effectiveness of the method.

yearjournalcountryeditionlanguage
2011-11-01International Journal of Automation and Computing
https://doi.org/10.1007/s11633-011-0595-z